#### Submissions from 2014

Free Energies in a General Non-Local Theory of a Material with Memory, Giovambattista Amendola, Mauro Fabrizio, and Murrough Golden

One-Dimensional Weakly Nonlinear Model Equations for Rossby Waves, David Henry and Rossen Ivanov

#### Submissions from 2013

Mathematical Modelling at Secondary School: the MACSI-Clongowes Wood College Experience, J.P.F. Charpin, S. O'Hara, and D. Mackey

On the Persistence Properties of the Cross-Coupled Camassa-Holm System, David Henry, Darryl Holm, and Rossen Ivanov

G-Strands and Peakon Collisions on Diff(R), Darryl Holm and Rossen Ivanov

Particle Trajectories in Extreme Stokes Waves Over Inifinte Depth, Tony Lyons

Weyl-Titchmarsh Type Formula for Periodic Schrodinger Operator with Wigner-von Neumann Potential, Sergey Simonov and Pavel Kurasov

Spectral multiplicity of selfadjoint Schrodinger operators on star-graphs with standard interface conditions, Sergey Simonov and Harald Woracek

On the Quadratic Bundles Related to Hermitian Symmetric Spaces, Tihomir Ilchev Valchev

Holomorphic Basis for Families of Subspaces of a Banach Space, Milena Venkova and Christopher Boyd

#### Submissions from 2012

Second Gradient Viscoelastic Fluids: Dissipation Principle and Free Energies, G. Amendola, M. Fabrizio, and Murrough Golden

Existence of a Minimizer for the Quasi-Relativistic Kohn-Sham Model, Carlos Argáez García and Michael Melgaard

Stiefel and Grassmann Manifolds in Quantum Chemistry, Eduardo Chiumiento and Michael Melgaard

On Soliton Interactions for a Hierarchy of Generalized Heisenberg Ferromagnetic Models on SU(3)/S(U(1) $\times$ U(2)) Symmetric Space, Vladimir Gerdjikov, Georgi Grahovski, Alexander Mikhailov, and Tihomir VAlchev

On Projection-Invariant Subgroups of Abelian P-Groups, Brendan Goldsmith

On Maximal Relatively Divisible Submodules, Brendan Goldsmith and Paolo Zanardo

The Generalised Zakharov-Shabat System and the Gauge Group Action, Georgi Grahovski

G-Strands, Darryl Holm, Rossen Ivanov, and James Percival

Dark Solitons of the Qiao's Hierarchy, Rossen Ivanov and Tony Lyons

Integrable Models for Shallow Water With Energy Dependent Spectral Problems, Rossen Ivanov and Tony Lyons

Cyclic Universe with an Inflationary Phase from a Cosmological Model with Real Gas Quintessence, Rossen Ivanov and Emil Prodanov

The 2-Component Dispersionless Burger's Equation Arising In The Modelling Of Bloodflow, Tony Lyons

Multiple Solutions of the Quasi Relativistic Choquard Equation, Michael Melgaard and Frederic D. Y. Zongo

#### Submissions from 2011

Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry, Carlos Argáez García and Michael Melgaard

Holomorphic Liftings from Infinite Dimensional Spaces, Sean Dineen and Milena Venkova

Euler Equations on a Semi-Direct Product of the Diffeomorphisms Group by Itself, Joachim Escher, Rossen Ivanov, and Boris Kolev

On the (Non)-Integrability of KdV Hierarchy with Self-consistent Sources, Vladimir Gerdjikov, Georgi Grahovski, and Rossen Ivanov

Rational Bundles and Recursion Operators for Integrable Equations on A.III-type Symmetric Spaces, Vladimir Gerdjikov, Georgi Grahovski, Alexander Mikhailov, and Tihomir Valtchev

Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces, Vladimir Gerdjikov, Georgi Grahovski, Alexander V. Mikhailov, and Tihomir Valchev

On the N-Wave Equations and Soliton Interactions in Two and Three Dimensions, Vladimir S. Gerdjikov, Rossen Ivanov, and Assen V. Kyuldjiev

On socle-regularity and some notions of transitivity for Abelian p-groups, Brendan Goldsmith and Peter Danchev

On Adjoint Entropy of Abelian Groups, Brendan Goldsmith and Ketao Gong

Smooth and Peaked Solitons of the Camassa-Holm Equation and Applications, Darryl Holm and Rossen Ivanov

#### Submissions from 2010

Spectral Theory of Semibounded Sturm-Liouville Operators with Local Interactions on a Discrete Set, Sergio Albeverio, Aleksey Kostenko, and Mark Malamud

Study of the Photoinduced Surface Relief Modulation in Photopolymers caused by Illumination with a Gaussian Beam of Light, Tzvetanka Babeva, Dana Mackey, Suzanne Martin, Izabela Naydenova, and Vincent Toal

Two-way Diffusion Model for Short Exposure Holographic Grating Formation in Acrylamide-based Photopolymer, Tzvetanka Babeva, Izabela Naydenova, Dana Mackey, Suzanne Martin, and Vincent Toal

Inverse scattering transform for the Degasperis–Procesi equation, Adrian Constantin, Rossen Ivanov, and Jonatan Lenells

Multi–component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory, Vladimir Gerdjikov and Georgi Grahovski

On the socles of characteristic subgroups of Abelian p-groups, Brendan Goldsmith and Peter Danchev

The maximal pure spectrum of an Abelian group, Brendan Goldsmith and Ruediger Goebel

Schrödinger Operators with δ'Interactions and the Krein–Stieltjes String, Aleksey Kostenko and M. M. Malamud

Complex absorbing potential method for systems, Jimmy Kungsman and Michael Melgaard

A Diffusion Model for Spatially Dependent Photopolymerization, Dana Mackey, Tzvetanka Babeva, Izabela Naydenova, and VIncent Toal

#### Submissions from 2009

On the socles of characteristic subgroups of Abelian p-groups, P. V. Danchev and Brendan Goldsmith

Algebraic entropy for Abelian groups, Dikran Dikranjan, Brendan Goldsmith, Luigi Salce, and Paolo Zanardo

Existence of infinitely many distinct solutions to the quasi-relativistic Hartree-Fock equations, Mattias Enstedt and Michael Melgaard

On modules which are self-slender, R. Gobel, Brendan Goldsmith, and O. Kolman

Phase Transitions in Materials with Thermal Memory: the Case of Unequal Conductivities, Murrough Golden

On the socles of fully invariant Abelian p-groups, Brendan Goldsmith and P. V. Danchev

Generalised Fourier Transform and Perturbations to Soliton Equations, Georgi Grahovski and Rossen Ivanov

Converging Flow Between Coaxial Cones, O. Hall, A. D. Gilbert, and C. P. Hills

Nonaxisymmetric Stokes Flow Between Concentric Cones, O. Hall, C. P. Hills, and A. D. Gilbert

Equations of the Camassa-Holm Hierarchy, Rossen Ivanov

Two component integrable systems modelling shallow water waves: the constant vorticity case, Rossen Ivanov

Daemon Decay and Inflation, Emil Prodanov

#### Submissions from 2008

On an integrable two-component Camassa-Holm shallow water system, Adrian Constantin and Rossen Ivanov

Nearly-Hamiltonian Structure for Water Waves with constant vorticity, Adrian Constantin, Rossen Ivanov, and Emil Prodanov

Existence of a solution to Hartree-Fock equations with decreasing magnetic field, Mattias Enstedt and Michael Melgaard

Higher derivatives of spectral functions associated with one-dimensional schrodinger operators, Daphne Gilbert, B.J. Harris, and S.M. Riehl

Algebraic Discretization of the Camassa-Holm and Hunter-Saxton Equations, Rossen Ivanov

Non-existence of a minimizer to the Hartree-Fock functional, Michael Melgaard and Mattias Enstedt

Equation of State for a van der Waals Universe during Reissner–Nordstrom Expansion, Emil Prodanov, Rossen Ivanov, and Vesselin Gueorguiev

#### Submissions from 2007

Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation, S. Roy Choudhury, Rossen Ivanov, and Yue Liu

Krylov subspaces from bilinear representations of nonlinear systems, Marissa Condon and Rossen Ivanov

Generalised Fourier transform for the Camassa-Holm hierarchy, Adrian Constantin, Vladimir Gerdjikov, and Rossen Ivanov

Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity, Adrian Constantin, Rossen Ivanov, and Emil Prodanov

On cosmall Abelian groups, Brendan Goldsmith and O. Kolman

Some transitivity results for torsion Abelian groups, Brendan Goldsmith and Lutz Strungmann

A note on clean abelian groups, Brendan Goldsmith and P. Vamos

Slow Flow Between Concentric Cones, O. Hall, C. P. Hills, and A. D. Gilbert

Conformal and geometric properties of the Camassa-Holm hierarchy, Rossen Ivanov

Water waves and Integrability, Rossen Ivanov

Jost solutions for a class of slowly decaying potentials, Alain Kerouanton

Optimising the ratio of horseradish peroxidase and glucose oxidase on a bienzyme electrode: comparison of a theoretical and experimental approach, Dana Mackey, Anthony Killard, Adriano Ambrosi, and Malcolm Smyth

Reissner-Nordstrom Expansion, Emil Prodanov, Rossen Ivanov, and Vesselin Gueorguiev

Reissner–Nordstrom Expansion, Emil Prodanov, Rossen Ivanov, and Vesselin Gueorguiev

#### Submissions from 2006

Inverse Scattering Transform for the Camassa-Holm equation, Adrian Constantin, Vladimir Gerdjikov, and Rossen Ivanov

Poisson structure and Action-Angle variables for the Camassa-Holm equation, Adrian Constantin and Rossen Ivanov

Discourse on the interface of Matheatics and Physics: a panel discussion sponsored by DIT and the RIA., Brendan Goldsmith

Classifying E-algebras over Dedekind domains, Brendan Goldsmith and R. Gobel

Generalised E-Algebras over valuation domains, Brendan Goldsmith and P. Zanardo

The Asymptotics of Neutral Curve Crossing in Taylor–Dean Flow, C. P. Hills and A. P. Bassom

Extended Camassa-Holm hierarchy and conserved quantities, Rossen Ivanov

Hamiltonian formulation and integrability of a complex symmetric nonlinear system, Rossen Ivanov

$h$-Vectors of Generalized Associahedra and Noncrossing Partitions, Colum Watt, Thomas Brady, Christos A. Athanasiadis, and Jon McCammond

#### Submissions from 2005

An explicit mapping between the frequency domain and the time domain representations of nonlinear systems, Marissa Condon and Rossen Ivanov

Asymptotic methods in the spectral analysis of Sturm-Liouville operators, Daphne J. Gilbert

Zeros of the jost function for a class of exponentially decaying potentials, Daphne Gilbert and Alain Kerouanton

On torsion-free Crawley groups, Brendan Goldsmith, A. L. S. Corner, and R. Gobel

Torsion-free weakly transitive Abelian groups, Brendan Goldsmith and Lutz Strungmann

Minimal modules over valuation domains, Brendan Goldsmith and P. Zanardo

The Simultaneous Onset and Interaction of Taylor and Dean Instabilities in a Couette Geometry, C. P. Hills and A. P. Bassom

Conformal Properties and Baecklund Transform for the Associated Camassa-Holm Equation, Rossen Ivanov

On the Integrability of a Class of Nonlinear Dispersive Wave Equations, Rossen Ivanov

Haunted Kaluza Universe with Four-Dimensional Lorentzian Flat, Kerr, and Taub–NUT Slices, Rossen Ivanov and Emil Prodanov

Manev Potential and General Relativity, Rossen Ivanov and Emil Prodanov

On the Field Equations of Kaluza’s Theory, Rossen Ivanov and Emil Prodanov

Pseudo-Newtonian Potential for Charged Particle in Kerr–Newman Geometry, Rossen Ivanov and Emil Prodanov

#### Submissions from 2004

On the empirical balanced truncation for nonlinear systems, Marissa Condon and Rossen Ivanov

Bounds for the points of spectral concentration of one-dimensional schrodinger operators, Daphne Gilbert, B.J. Harris, and S.M. Riehl